Theorems · Definition · algebraic topology
SSet.Edge.ofEq
{X : SSet} → {x₀ x₁ y₀ y₁ : X.obj (Opposite.op { len := 0 })} → SSet.Edge x₀ x₁ → x₀ = y₀ → x₁ = y₁ → SSet.Edge y₀ y₁Transports an edge between x₀ and x₁ to an edge between y₀ and y₁, given x₀ = y₀
and x₁ = y₁.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Edgestatement and proof · cited by 55
- SSet.Edge.edgeproof · cited by 30
Cited by5
Results whose statement or proof uses this declaration.
- SSet.Edge.InvStruct.ofEqproof · cited by 3
- SSet.Edge.ofEq_edgestatement and proof · cited by 0
- SSet.Edge.InvStruct.ofEq_homInvIdstatement · cited by 0
- SSet.Edge.InvStruct.ofEq_invstatement · cited by 0
- SSet.Edge.InvStruct.ofEq_invHomIdstatement · cited by 0